BER analysis of WFRFT-based systems with order offset

Abstract

We propose a novel bit error rate (BER) analysis model of weighted-type fractional Fourier transform (WFRFT)-based systems with WFRFT order offset Δα. By using the traditional BPSK BER analysis method, we deduce the equivalent signal noise ratio (SNR), build the interference model in the channel as a Gaussian noise with a non-zero mean, and provide the theoretical BER expression of the proposed system. Simulation results show that the theoretical BER performances can well match the empirical ones, which demonstrates that the theoretical BER analysis proposed in this paper is reliable.